On Lens Spaces and Their Symplectic Fillings
| dc.creator | Lisca, Paolo | |
| dc.date | 2002-03-01 | |
| dc.date.accessioned | 2026-07-07T04:46:46Z | |
| dc.date.available | 2026-07-07T04:46:46Z | |
| dc.description | The standard contact structure on the three-sphere is invariant under the action of the cyclic group of order p yielding the lens space L(p,q). Therefore, every lens space carries a natural quotient contact structure Q. A theorem of Eliashberg and McDuff classifies the symplectic fillings of (L(p,1), Q) up to diffeomorphism. We announce a generalization of that result to every lens space. In particular, we give an explicit handlebody decomposition of every symplectic filling of (L(p,q), Q) for every p and q. Our results imply that: (a) there exist infinitely many lens spaces L(p,q) with q>1 such that (L(p,q), Q) admits only one symplectic filling up to blowup and diffeomorphism; (b) for any natural number N, there exist infinitely many lens spaces L(p,q) such that (L(p,q), Q) admits more than N symplectic fillings up to blowup and diffeomorphism. | |
| dc.description | 10 pages, 4 figures, announcement | |
| dc.identifier | https://arxiv.org/abs/math/0203006 | |
| dc.identifier | http://arxiv.org/abs/math/0203006 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63466 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | Geometric Topology | |
| dc.subject | 57R17; 53D35 | |
| dc.title | On Lens Spaces and Their Symplectic Fillings | |
| dc.type | text |